{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用系统聚类算法对AirPassengers的年度标准曲线进行聚类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "# 加载数据、转换并进行标准化处理\n",
    "passengers = pd.read_csv(\"http://image.cador.cn/data/AirPassengers.csv\")\n",
    "data = list()\n",
    "tmp = passengers.groupby('year').filter(lambda block:data.append([block.iloc[0,0]]+block.passengers.values.tolist()))\n",
    "data = pd.DataFrame(data)\n",
    "data.set_index(data[0],inplace=True)\n",
    "data.drop(columns=0,inplace=True)\n",
    "# 按行进行标准化，列有利于对曲线模式的分析\n",
    "data = data.apply(lambda x:(x-np.min(x))/(np.max(x)-np.min(x)),axis=1)\n",
    "\n",
    "from scipy.spatial.distance import pdist,squareform\n",
    "from scipy.cluster.hierarchy import linkage\n",
    "from scipy.cluster.hierarchy import dendrogram\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "# 绘制聚类树状图，发现适合聚成2类，并添加辅助线标记\n",
    "row_clusters = linkage(pdist(data,metric='euclidean'),method='ward')\n",
    "row_dendr = dendrogram(row_clusters)\n",
    "plt.tight_layout()\n",
    "plt.ylabel('Euclidean distance',fontsize=14)\n",
    "plt.axhline(0.6,c='red',linestyle='--')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "根据划分的类别，画出对应的年度曲线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ac=AgglomerativeClustering(n_clusters=2,affinity='euclidean',linkage='complete')\n",
    "data['cluster']=ac.fit_predict(data)\n",
    "styles = ['co-','ro-']\n",
    "tmp = data.apply(lambda row:plt.plot([x+1 for x in range(12)],[row[x+1] for x in range(12)],styles[int(row.cluster)],alpha=0.3),axis=1)\n",
    "plt.xlabel(\"month\",fontsize=14)\n",
    "plt.ylabel(\"standardized passengers\",fontsize=14)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
